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Finding the Fourth Proportional to 235,384.43, 353,150.42 and 77,723.60

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Solution

The fourth proportional to 235,384.43, 353,150.42 and 77,723.60 is: 116,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,384.43 : 353,150.42 = 77,723.60 : x
  2. Step 2: Convert to fraction form
    235,384.43/353,150.42 = 77,723.60/x
  3. Step 3: Cross multiply
    235,384.43x = 353,150.42 × 77,723.60
  4. Step 4: Simplify right side
    235,384.43x = 27,448,119,829.54
  5. Step 5: Solve for x
    x = 27,448,119,829.54/235,384.43
  6. Step 6: Final answer
    x = 116,609.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.